Which exponential expression is equivalent to the one below?

12-5x-4kx=y solve for x

PIT_PIT [12445]

$12-5x-4kx=y:x$

$-5x-4kx=y-12$

$-x(5+4k)=y-12$

$-x= \dfrac{y-12}{5+4k}$

$x=- \dfrac{y-12}{5+4k}$

7 0

2 months ago

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

PIT_PIT [12445]

Answer:

A scale transformation that contracts and is subsequently followed by a reflection.

Step-by-step explanation:

A contraction with a scale factor less than 1, followed by a reflection, constitutes the combination of similarity transformations that maps polygon ABCD to polygon A'B'C'D.

4 0

3 months ago

Read 2 more answers

The manufacturer of a certain type of new cell phone battery claims that the average life span of the batteries is 500 charges;

Inessa [12570]

Answer:

a. 0

b. Yes

c. The claim made by the manufacturers is not credible

d. 0.3446

e. A mean lifetime of 39.8 hours is not considered unusually short.

f. The manufacturers claim is credible

Step-by-step explanation:

Please see attachment

8 0

2 months ago

Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33.

lawyer [12517]

Answer:

$u_{n} = -2 + (n-1)5$

Step-by-step explanation:

$u_{n} = a + (n-1)d$

$u_{3} = a + (3-1)d = 8$

$u_{3} = a + 2d = 8$

$u_{8} = a + (8-1)d = 33$

$u_{8} = a + 7d = 33$

Simultaenous Equations

a + 2d = 8

a + 7d = 33

By subtracting one equation from the other

(a + 7d = 33) - (a + 2d = 8)

(a - a) + (7d - 2d) = (33 - 8)

5d = 25

d = 25/5

d = 5

Now replace d in either equation to solve for a

a + 2(5) = 8

a + 10 = 8

a = 8 - 10 = -2

a = -2

a + 7(5) = 33

a + 35 = 33

a = 33 - 35 = -2

a = -2

$u_{n} = -2 + (n-1)5$

6 0

1 month ago

A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particula

babunello [11817]

Answer: 26.3 mm

Step-by-step explanation:

The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.

Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm

The maximum thickness that should be reviewed = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

therefore, the maximum thickness warranting machine configuration review by the statistician = 26.3 mm.

7 0

3 months ago